Featuring topics from finance, linear algebra, linear programming and probability, this text emphasizes computational skills, ideas and problem solving. The use of graphing calculators is integrated in optional examples, and the book includes exercises related to technology, illustrations of applications of spreadsheets and sample computer code. Linear programming is tested thoroughly, including applications of simplex, dual, big M, and two-phase methods for utilizing slack, surplus and artificial variables. Several sections are devoted to limits: the limit properties necessary to find derivatives by definition; continuity and graphs; and limits at infinity and infinite limits. The definite integral is introduced as a limit of Riemann sums, following the more traditional development of integration and emphasizing understanding of basic concepts. Since the previous edition, these changes have occurred: all matrix operations are covered in a single section in chapter 4; one single chapter is devoted to probability; the discussion of Markov chains has expanded to a new chapter, including discussion of absorbing chains; and chapter 15 now concentrates on the relationship between probability and calculus.
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Barnett/Ziegler/Byleen, Applied Mathematics, eighth edition provides comprehensive coverage of the topics essential to the mathematical development of students majoring in business, economics, social sciences, or life sciences. The emphasis throughout is on computational skills, ideas, and problem solving—rather than on mathematical theory. Derivations and proofs are included only when necessary.
The Barnett texts are known for their varied applications and thorough exercise sets. The eighth edition continues this high standard. The text is mathematically correct, accessible, and student-friendly. Applied Mathematics succeeds at preparing students to deal with calculus topics when they encounter them outside the mathematics classroom.
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